TSTP Solution File: GRP369-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP369-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:41:06 EDT 2023
% Result : Unsatisfiable 36.55s 24.64s
% Output : CNFRefutation 36.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 50
% Syntax : Number of formulae : 790 ( 670 unt; 12 typ; 0 def)
% Number of atoms : 1075 (1037 equ)
% Maximal formula atoms : 13 ( 1 avg)
% Number of connectives : 638 ( 341 ~; 297 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 378 (; 378 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c9 > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c9,type,
sk_c9: $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_113,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_170,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_149,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(sk_c7,sk_c9) != sk_c8 )
| ( multiply(sk_c9,X4) != sk_c8 )
| ( multiply(X5,sk_c9) != X4 )
| ( inverse(X5) != sk_c9 )
| ( multiply(X6,sk_c7) != sk_c9 )
| ( inverse(X6) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c9 )
| ( inverse(X2) != sk_c8 )
| ( multiply(X3,sk_c9) != sk_c7 )
| ( inverse(X3) != sk_c9 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_155,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_161,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_107,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_152,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_158,axiom,
( ( multiply(sk_c3,sk_c7) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( multiply(sk_c9,sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c7,sk_c9) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c1,sk_c9) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_137,axiom,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_179,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_182,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_188,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c6) = sk_c9 ) ),
file(unknown,unknown) ).
tff(f_173,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_176,axiom,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_156745,plain,
! [X_917,Y_918,Z_919] : ( multiply(multiply(X_917,Y_918),Z_919) = multiply(X_917,multiply(Y_918,Z_919)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_156784,plain,
! [X_2,Z_919] : ( multiply(inverse(X_2),multiply(X_2,Z_919)) = multiply(identity,Z_919) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_156745]) ).
tff(c_156797,plain,
! [X_2,Z_919] : ( multiply(inverse(X_2),multiply(X_2,Z_919)) = Z_919 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156784]) ).
tff(c_157904,plain,
! [X_944,Z_945] : ( multiply(inverse(X_944),multiply(X_944,Z_945)) = Z_945 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156784]) ).
tff(c_158146,plain,
! [X_948,Z_949] : ( multiply(inverse(inverse(X_948)),Z_949) = multiply(X_948,Z_949) ),
inference(superposition,[status(thm),theory(equality)],[c_156797,c_157904]) ).
tff(c_157949,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_157904]) ).
tff(c_158153,plain,
! [X_948] : ( multiply(X_948,identity) = X_948 ),
inference(superposition,[status(thm),theory(equality)],[c_158146,c_157949]) ).
tff(c_131988,plain,
! [X_702,Y_703,Z_704] : ( multiply(multiply(X_702,Y_703),Z_704) = multiply(X_702,multiply(Y_703,Z_704)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_132027,plain,
! [X_2,Z_704] : ( multiply(inverse(X_2),multiply(X_2,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131988]) ).
tff(c_132040,plain,
! [X_2,Z_704] : ( multiply(inverse(X_2),multiply(X_2,Z_704)) = Z_704 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132027]) ).
tff(c_133983,plain,
! [X_744,Z_745] : ( multiply(inverse(X_744),multiply(X_744,Z_745)) = Z_745 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132027]) ).
tff(c_134155,plain,
! [X_748,Z_749] : ( multiply(inverse(inverse(X_748)),Z_749) = multiply(X_748,Z_749) ),
inference(superposition,[status(thm),theory(equality)],[c_132040,c_133983]) ).
tff(c_134010,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133983]) ).
tff(c_134166,plain,
! [X_748] : ( multiply(X_748,identity) = X_748 ),
inference(superposition,[status(thm),theory(equality)],[c_134155,c_134010]) ).
tff(c_189,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_222,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_189]) ).
tff(c_232,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_311,plain,
! [X_18,Z_19] : ( multiply(inverse(X_18),multiply(X_18,Z_19)) = Z_19 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_222]) ).
tff(c_609,plain,
! [X_22,Z_23] : ( multiply(inverse(inverse(X_22)),Z_23) = multiply(X_22,Z_23) ),
inference(superposition,[status(thm),theory(equality)],[c_232,c_311]) ).
tff(c_341,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_311]) ).
tff(c_616,plain,
! [X_22] : ( multiply(X_22,identity) = X_22 ),
inference(superposition,[status(thm),theory(equality)],[c_609,c_341]) ).
tff(c_34,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_139,plain,
multiply(sk_c9,sk_c2) = sk_c8,
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_40,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_145,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_54,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_123,plain,
inverse(sk_c1) = sk_c9,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_127,plain,
multiply(sk_c9,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_123,c_4]) ).
tff(c_216,plain,
! [Z_16] : ( multiply(sk_c9,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_189]) ).
tff(c_234,plain,
! [Z_17] : ( multiply(sk_c9,multiply(sk_c1,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_216]) ).
tff(c_246,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145,c_234]) ).
tff(c_250,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_246]) ).
tff(c_16,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_153,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_253,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_153]) ).
tff(c_78,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_109,plain,
inverse(sk_c3) = sk_c7,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_64,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_158,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_252,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_158]) ).
tff(c_402,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_252,c_232]) ).
tff(c_408,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_253,c_109,c_402]) ).
tff(c_92,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( multiply(sk_c7,sk_c9) != sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_262,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_250,c_250,c_250,c_250,c_250,c_250,c_250,c_250,c_92]) ).
tff(c_263,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(splitLeft,[status(thm)],[c_262]) ).
tff(c_301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263,c_253]) ).
tff(c_303,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(splitRight,[status(thm)],[c_262]) ).
tff(c_456,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_408,c_408,c_303]) ).
tff(c_463,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_456,c_232]) ).
tff(c_470,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_463]) ).
tff(c_476,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470,c_408]) ).
tff(c_257,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_123]) ).
tff(c_414,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_408,c_257]) ).
tff(c_452,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_414,c_4]) ).
tff(c_485,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_470,c_452]) ).
tff(c_473,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_470,c_414]) ).
tff(c_498,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_485,c_473]) ).
tff(c_302,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_262]) ).
tff(c_8068,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != identity )
| ( identity != X5_6 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X3_8) != identity )
| ( identity != X3_8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_616,c_476,c_470,c_476,c_616,c_476,c_476,c_476,c_616,c_476,c_470,c_476,c_616,c_476,c_470,c_470,c_616,c_476,c_476,c_2,c_476,c_476,c_498,c_476,c_470,c_302]) ).
tff(c_8070,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8068]) ).
tff(c_8072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8070,c_498]) ).
tff(c_8073,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(splitRight,[status(thm)],[c_8068]) ).
tff(c_114211,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_8073]) ).
tff(c_114213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114211,c_498]) ).
tff(c_114214,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_8073]) ).
tff(c_114216,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_114214]) ).
tff(c_114218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114216,c_498]) ).
tff(c_114219,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_114214]) ).
tff(c_114222,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_114219]) ).
tff(c_114224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114222,c_498]) ).
tff(c_114226,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_114219]) ).
tff(c_114228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114226,c_498]) ).
tff(c_114229,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_114234,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_114229,c_4]) ).
tff(c_114313,plain,
! [X_431,Y_432,Z_433] : ( multiply(multiply(X_431,Y_432),Z_433) = multiply(X_431,multiply(Y_432,Z_433)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_114358,plain,
! [Z_433] : ( multiply(sk_c9,multiply(sk_c1,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_114313]) ).
tff(c_114380,plain,
! [Z_434] : ( multiply(sk_c9,multiply(sk_c1,Z_434)) = Z_434 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114358]) ).
tff(c_114392,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145,c_114380]) ).
tff(c_114396,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_114392]) ).
tff(c_114403,plain,
multiply(sk_c7,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_114396,c_153]) ).
tff(c_114408,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114234,c_114403]) ).
tff(c_114407,plain,
inverse(sk_c1) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_114396,c_123]) ).
tff(c_114591,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114408,c_114407]) ).
tff(c_114595,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_114591,c_4]) ).
tff(c_114605,plain,
sk_c1 = identity,
inference(superposition,[status(thm),theory(equality)],[c_114595,c_2]) ).
tff(c_114614,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114605,c_114591]) ).
tff(c_114420,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_114408,c_114229]) ).
tff(c_114698,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114614,c_114420]) ).
tff(c_113,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_114711,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114698,c_113]) ).
tff(c_114364,plain,
! [X_2,Z_433] : ( multiply(inverse(X_2),multiply(X_2,Z_433)) = multiply(identity,Z_433) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_114313]) ).
tff(c_114378,plain,
! [X_2,Z_433] : ( multiply(inverse(X_2),multiply(X_2,Z_433)) = Z_433 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114364]) ).
tff(c_114829,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_114711,c_114378]) ).
tff(c_114841,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_114829]) ).
tff(c_114230,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_114402,plain,
multiply(sk_c3,sk_c7) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_114396,c_114230]) ).
tff(c_114817,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_114698,c_114408,c_114402]) ).
tff(c_114845,plain,
multiply(identity,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_114841,c_114817]) ).
tff(c_114850,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114845]) ).
tff(c_114852,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_8,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_114888,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_114852,c_8]) ).
tff(c_114892,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_114888,c_4]) ).
tff(c_114940,plain,
! [X_439,Y_440,Z_441] : ( multiply(multiply(X_439,Y_440),Z_441) = multiply(X_439,multiply(Y_440,Z_441)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_114985,plain,
! [Z_441] : ( multiply(sk_c9,multiply(sk_c1,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_114940]) ).
tff(c_115007,plain,
! [Z_442] : ( multiply(sk_c9,multiply(sk_c1,Z_442)) = Z_442 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114985]) ).
tff(c_115019,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145,c_115007]) ).
tff(c_115023,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_115019]) ).
tff(c_115031,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115023,c_114852]) ).
tff(c_115037,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_114892,c_115031]) ).
tff(c_114853,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_115032,plain,
multiply(sk_c3,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115023,c_114853]) ).
tff(c_114991,plain,
! [X_2,Z_441] : ( multiply(inverse(X_2),multiply(X_2,Z_441)) = multiply(identity,Z_441) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_114940]) ).
tff(c_115086,plain,
! [X_443,Z_444] : ( multiply(inverse(X_443),multiply(X_443,Z_444)) = Z_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114991]) ).
tff(c_115104,plain,
multiply(inverse(sk_c3),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115032,c_115086]) ).
tff(c_115159,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_114892,c_109,c_115104]) ).
tff(c_115175,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115159,c_114888]) ).
tff(c_20,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_114875,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_114852,c_20]) ).
tff(c_115030,plain,
inverse(sk_c6) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115023,c_114875]) ).
tff(c_115060,plain,
multiply(sk_c8,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115030,c_4]) ).
tff(c_115005,plain,
! [X_2,Z_441] : ( multiply(inverse(X_2),multiply(X_2,Z_441)) = Z_441 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_114991]) ).
tff(c_115195,plain,
multiply(inverse(sk_c8),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_115060,c_115005]) ).
tff(c_115201,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115175,c_115195]) ).
tff(c_18,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_114916,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_114852,c_18]) ).
tff(c_115028,plain,
multiply(sk_c6,sk_c8) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_115023,c_114916]) ).
tff(c_115287,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115201,c_115159,c_115028]) ).
tff(c_115288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115037,c_115287]) ).
tff(c_115289,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_115302,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115289,c_4]) ).
tff(c_115380,plain,
! [X_446,Y_447,Z_448] : ( multiply(multiply(X_446,Y_447),Z_448) = multiply(X_446,multiply(Y_447,Z_448)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_115422,plain,
! [Z_448] : ( multiply(sk_c9,multiply(sk_c1,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_115380]) ).
tff(c_115444,plain,
! [Z_449] : ( multiply(sk_c9,multiply(sk_c1,Z_449)) = Z_449 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115422]) ).
tff(c_115456,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_145,c_115444]) ).
tff(c_115460,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_139,c_115456]) ).
tff(c_115478,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(X3_8,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c8 )
| ( inverse(X5_6) != sk_c8 )
| ( multiply(sk_c8,multiply(X5_6,sk_c8)) != sk_c8 )
| ( sk_c8 != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115302,c_115460,c_115460,c_115460,c_115460,c_115460,c_115289,c_115460,c_115460,c_115460,c_92]) ).
tff(c_115479,plain,
sk_c8 != identity,
inference(splitLeft,[status(thm)],[c_115478]) ).
tff(c_115290,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_68,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_115329,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_115290,c_68]) ).
tff(c_10,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_115355,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_114852,c_10]) ).
tff(c_115428,plain,
! [X_2,Z_448] : ( multiply(inverse(X_2),multiply(X_2,Z_448)) = multiply(identity,Z_448) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115380]) ).
tff(c_115517,plain,
! [X_450,Z_451] : ( multiply(inverse(X_450),multiply(X_450,Z_451)) = Z_451 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115428]) ).
tff(c_115553,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_115355,c_115517]) ).
tff(c_115590,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115329,c_115553]) ).
tff(c_115442,plain,
! [X_2,Z_448] : ( multiply(inverse(X_2),multiply(X_2,Z_448)) = Z_448 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115428]) ).
tff(c_115602,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115590,c_115442]) ).
tff(c_115608,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_115602]) ).
tff(c_115615,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115608,c_113]) ).
tff(c_115723,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_115615,c_115442]) ).
tff(c_115735,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_115723]) ).
tff(c_115616,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115608,c_109]) ).
tff(c_115739,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115735,c_115616]) ).
tff(c_114851,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_115294,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_114851,c_4]) ).
tff(c_115565,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_115294,c_115517]) ).
tff(c_115592,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_115289,c_115565]) ).
tff(c_115652,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115608,c_115592]) ).
tff(c_115654,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115652,c_114851]) ).
tff(c_115747,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_115739,c_115654]) ).
tff(c_115749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115479,c_115747]) ).
tff(c_115751,plain,
sk_c8 = identity,
inference(splitRight,[status(thm)],[c_115478]) ).
tff(c_115467,plain,
multiply(sk_c7,sk_c8) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115460,c_114852]) ).
tff(c_115472,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_115302,c_115467]) ).
tff(c_115823,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115751,c_115472]) ).
tff(c_115824,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_72,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_117602,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_117692,plain,
! [X_485,Y_486,Z_487] : ( multiply(multiply(X_485,Y_486),Z_487) = multiply(X_485,multiply(Y_486,Z_487)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_117737,plain,
! [Z_487] : ( multiply(sk_c7,multiply(sk_c3,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_117692]) ).
tff(c_117771,plain,
! [Z_489] : ( multiply(sk_c7,multiply(sk_c3,Z_489)) = Z_489 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117737]) ).
tff(c_117783,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_117602,c_117771]) ).
tff(c_117740,plain,
! [X_2,Z_487] : ( multiply(inverse(X_2),multiply(X_2,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_117692]) ).
tff(c_117818,plain,
! [X_491,Z_492] : ( multiply(inverse(X_491),multiply(X_491,Z_492)) = Z_492 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117740]) ).
tff(c_117842,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_117783,c_117818]) ).
tff(c_117914,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117842]) ).
tff(c_117932,plain,
multiply(identity,sk_c2) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_117914,c_139]) ).
tff(c_117935,plain,
sk_c8 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117932]) ).
tff(c_115825,plain,
multiply(sk_c1,sk_c9) != sk_c2,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_38,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_117680,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_115825,c_38]) ).
tff(c_115829,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_115824,c_4]) ).
tff(c_117725,plain,
! [Z_487] : ( multiply(sk_c8,multiply(sk_c4,Z_487)) = multiply(identity,Z_487) ),
inference(superposition,[status(thm),theory(equality)],[c_115829,c_117692]) ).
tff(c_117795,plain,
! [Z_490] : ( multiply(sk_c8,multiply(sk_c4,Z_490)) = Z_490 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117725]) ).
tff(c_117807,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_117680,c_117795]) ).
tff(c_117836,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_117807,c_117818]) ).
tff(c_117912,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117836]) ).
tff(c_115842,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_115921,plain,
! [X_455,Y_456,Z_457] : ( multiply(multiply(X_455,Y_456),Z_457) = multiply(X_455,multiply(Y_456,Z_457)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_115969,plain,
! [Z_457] : ( multiply(sk_c7,multiply(sk_c3,Z_457)) = multiply(identity,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_115921]) ).
tff(c_116295,plain,
! [Z_463] : ( multiply(sk_c7,multiply(sk_c3,Z_463)) = Z_463 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115969]) ).
tff(c_116307,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_115842,c_116295]) ).
tff(c_115972,plain,
! [X_2,Z_457] : ( multiply(inverse(X_2),multiply(X_2,Z_457)) = multiply(identity,Z_457) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115921]) ).
tff(c_116393,plain,
! [X_464,Z_465] : ( multiply(inverse(X_464),multiply(X_464,Z_465)) = Z_465 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115972]) ).
tff(c_116435,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_116307,c_116393]) ).
tff(c_116482,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116435]) ).
tff(c_116499,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116482,c_123]) ).
tff(c_116541,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_116499,c_4]) ).
tff(c_115986,plain,
! [X_2,Z_457] : ( multiply(inverse(X_2),multiply(X_2,Z_457)) = Z_457 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_115972]) ).
tff(c_116707,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_116541,c_115986]) ).
tff(c_116719,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116707]) ).
tff(c_115833,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_116311,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_116307,c_115833]) ).
tff(c_116327,plain,
multiply(sk_c9,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_116311,c_139]) ).
tff(c_116490,plain,
multiply(identity,sk_c2) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_116482,c_116327]) ).
tff(c_116500,plain,
sk_c7 = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_116490]) ).
tff(c_48,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_115847,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_115825,c_48]) ).
tff(c_46,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_115898,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_115825,c_46]) ).
tff(c_116447,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_115898,c_116393]) ).
tff(c_116484,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_115847,c_116447]) ).
tff(c_116617,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116500,c_116482,c_2,c_116482,c_116484]) ).
tff(c_116497,plain,
multiply(sk_c1,identity) != sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_116482,c_115825]) ).
tff(c_116736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_116719,c_116617,c_116497]) ).
tff(c_116738,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_116762,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_116738,c_64]) ).
tff(c_116766,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_116762,c_4]) ).
tff(c_74,plain,
( ( multiply(sk_c6,sk_c9) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_116793,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_116738,c_74]) ).
tff(c_116746,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_115825,c_48]) ).
tff(c_116750,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_116746,c_4]) ).
tff(c_116820,plain,
! [X_467,Y_468,Z_469] : ( multiply(multiply(X_467,Y_468),Z_469) = multiply(X_467,multiply(Y_468,Z_469)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_116850,plain,
! [Z_469] : ( multiply(sk_c9,multiply(sk_c6,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_116750,c_116820]) ).
tff(c_116910,plain,
! [Z_472] : ( multiply(sk_c9,multiply(sk_c6,Z_472)) = Z_472 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_116850]) ).
tff(c_116922,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_116793,c_116910]) ).
tff(c_116856,plain,
! [Z_469] : ( multiply(sk_c7,multiply(sk_c9,Z_469)) = multiply(sk_c8,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_115833,c_116820]) ).
tff(c_117319,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c9),
inference(superposition,[status(thm),theory(equality)],[c_116922,c_116856]) ).
tff(c_117325,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115833,c_117319]) ).
tff(c_116844,plain,
! [Z_469] : ( multiply(sk_c7,multiply(sk_c8,Z_469)) = multiply(identity,Z_469) ),
inference(superposition,[status(thm),theory(equality)],[c_116766,c_116820]) ).
tff(c_117360,plain,
! [Z_481] : ( multiply(sk_c7,multiply(sk_c8,Z_481)) = Z_481 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_116844]) ).
tff(c_117378,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_117325,c_117360]) ).
tff(c_117391,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116766,c_117378]) ).
tff(c_117401,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_117391,c_116762]) ).
tff(c_117414,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117401,c_4]) ).
tff(c_117424,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_117414,c_2]) ).
tff(c_117433,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_117424,c_117401]) ).
tff(c_117279,plain,
! [Z_479] : ( multiply(sk_c7,multiply(sk_c9,Z_479)) = multiply(sk_c8,Z_479) ),
inference(superposition,[status(thm),theory(equality)],[c_115833,c_116820]) ).
tff(c_117303,plain,
multiply(sk_c8,sk_c1) = multiply(sk_c7,identity),
inference(superposition,[status(thm),theory(equality)],[c_127,c_117279]) ).
tff(c_117393,plain,
multiply(sk_c8,sk_c1) = multiply(identity,identity),
inference(demodulation,[status(thm),theory(equality)],[c_117391,c_117303]) ).
tff(c_117406,plain,
multiply(sk_c8,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117393]) ).
tff(c_117536,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117424,c_117406]) ).
tff(c_117539,plain,
inverse(identity) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_117536,c_123]) ).
tff(c_117541,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_117433,c_117539]) ).
tff(c_117300,plain,
multiply(sk_c8,sk_c2) = multiply(sk_c7,sk_c8),
inference(superposition,[status(thm),theory(equality)],[c_139,c_117279]) ).
tff(c_117307,plain,
multiply(sk_c8,sk_c2) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_116766,c_117300]) ).
tff(c_117381,plain,
multiply(sk_c7,identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_117307,c_117360]) ).
tff(c_117500,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117391,c_117381]) ).
tff(c_117501,plain,
multiply(sk_c1,sk_c9) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_117500,c_115825]) ).
tff(c_117599,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117541,c_2,c_117536,c_117501]) ).
tff(c_117601,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_117787,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_117783,c_117601]) ).
tff(c_117941,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_117912,c_117787]) ).
tff(c_117997,plain,
sk_c2 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_117935,c_117941]) ).
tff(c_117934,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_117914,c_123]) ).
tff(c_118025,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117934,c_4]) ).
tff(c_117754,plain,
! [X_2,Z_487] : ( multiply(inverse(X_2),multiply(X_2,Z_487)) = Z_487 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117740]) ).
tff(c_118086,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_118025,c_117754]) ).
tff(c_118098,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_118086]) ).
tff(c_118102,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118098,c_117934]) ).
tff(c_36,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_117624,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_115825,c_36]) ).
tff(c_117600,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_117606,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117600,c_4]) ).
tff(c_117875,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_117606,c_117818]) ).
tff(c_117918,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm),theory(equality)],[c_117624,c_117875]) ).
tff(c_118077,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_117912,c_117918]) ).
tff(c_117955,plain,
inverse(sk_c5) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_117935,c_117600]) ).
tff(c_118078,plain,
inverse(identity) = sk_c2,
inference(demodulation,[status(thm),theory(equality)],[c_118077,c_117955]) ).
tff(c_118122,plain,
sk_c2 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118102,c_118078]) ).
tff(c_118124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117997,c_118122]) ).
tff(c_118126,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_66,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_118196,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_118126,c_66]) ).
tff(c_118219,plain,
! [X_495,Y_496,Z_497] : ( multiply(multiply(X_495,Y_496),Z_497) = multiply(X_495,multiply(Y_496,Z_497)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_118264,plain,
! [X_2,Z_497] : ( multiply(inverse(X_2),multiply(X_2,Z_497)) = multiply(identity,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_118219]) ).
tff(c_118396,plain,
! [X_502,Z_503] : ( multiply(inverse(X_502),multiply(X_502,Z_503)) = Z_503 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118264]) ).
tff(c_118435,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_118196,c_118396]) ).
tff(c_118463,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_115824,c_118435]) ).
tff(c_118278,plain,
! [X_2,Z_497] : ( multiply(inverse(X_2),multiply(X_2,Z_497)) = Z_497 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118264]) ).
tff(c_118470,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118463,c_118278]) ).
tff(c_118479,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_118470]) ).
tff(c_118494,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118479,c_109]) ).
tff(c_118527,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_118494,c_4]) ).
tff(c_118637,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_118527,c_118278]) ).
tff(c_118649,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_118637]) ).
tff(c_118135,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_115825,c_36]) ).
tff(c_118139,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_118135,c_4]) ).
tff(c_118246,plain,
! [Z_497] : ( multiply(sk_c7,multiply(sk_c8,Z_497)) = multiply(identity,Z_497) ),
inference(superposition,[status(thm),theory(equality)],[c_118139,c_118219]) ).
tff(c_118308,plain,
! [Z_500] : ( multiply(sk_c7,multiply(sk_c8,Z_500)) = Z_500 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118246]) ).
tff(c_118320,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_115829,c_118308]) ).
tff(c_118130,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_117600,c_4]) ).
tff(c_118323,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_118130,c_118308]) ).
tff(c_118348,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_118320,c_118323]) ).
tff(c_70,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_118190,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_118126,c_70]) ).
tff(c_118349,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_118348,c_118190]) ).
tff(c_118352,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118196,c_118349]) ).
tff(c_118366,plain,
multiply(sk_c3,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118352,c_118126]) ).
tff(c_118663,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118649,c_118479,c_118479,c_118366]) ).
tff(c_118665,plain,
multiply(sk_c9,sk_c2) != sk_c8,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_22,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_118695,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_118665,c_22]) ).
tff(c_118699,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_118695,c_4]) ).
tff(c_26,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_118677,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_118665,c_26]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_128827,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_118665,c_24]) ).
tff(c_128843,plain,
! [X_635,Y_636,Z_637] : ( multiply(multiply(X_635,Y_636),Z_637) = multiply(X_635,multiply(Y_636,Z_637)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_128891,plain,
! [X_2,Z_637] : ( multiply(inverse(X_2),multiply(X_2,Z_637)) = multiply(identity,Z_637) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_128843]) ).
tff(c_129054,plain,
! [X_642,Z_643] : ( multiply(inverse(X_642),multiply(X_642,Z_643)) = Z_643 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128891]) ).
tff(c_129090,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_128827,c_129054]) ).
tff(c_129118,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_118677,c_129090]) ).
tff(c_128905,plain,
! [X_2,Z_637] : ( multiply(inverse(X_2),multiply(X_2,Z_637)) = Z_637 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128891]) ).
tff(c_129125,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129118,c_128905]) ).
tff(c_129134,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118699,c_118695,c_129125]) ).
tff(c_118689,plain,
multiply(sk_c3,sk_c7) = sk_c9,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_128888,plain,
! [Z_637] : ( multiply(sk_c7,multiply(sk_c3,Z_637)) = multiply(identity,Z_637) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_128843]) ).
tff(c_128931,plain,
! [Z_639] : ( multiply(sk_c7,multiply(sk_c3,Z_639)) = Z_639 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128888]) ).
tff(c_128943,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118689,c_128931]) ).
tff(c_119168,plain,
! [X_513,Y_514,Z_515] : ( multiply(multiply(X_513,Y_514),Z_515) = multiply(X_513,multiply(Y_514,Z_515)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_119216,plain,
! [X_2,Z_515] : ( multiply(inverse(X_2),multiply(X_2,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_119168]) ).
tff(c_119230,plain,
! [X_2,Z_515] : ( multiply(inverse(X_2),multiply(X_2,Z_515)) = Z_515 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119216]) ).
tff(c_120522,plain,
! [X_542,Z_543] : ( multiply(inverse(X_542),multiply(X_542,Z_543)) = Z_543 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119216]) ).
tff(c_120873,plain,
! [X_546,Z_547] : ( multiply(inverse(inverse(X_546)),Z_547) = multiply(X_546,Z_547) ),
inference(superposition,[status(thm),theory(equality)],[c_119230,c_120522]) ).
tff(c_120597,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_120522]) ).
tff(c_120880,plain,
! [X_546] : ( multiply(X_546,identity) = X_546 ),
inference(superposition,[status(thm),theory(equality)],[c_120873,c_120597]) ).
tff(c_119213,plain,
! [Z_515] : ( multiply(sk_c7,multiply(sk_c3,Z_515)) = multiply(identity,Z_515) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_119168]) ).
tff(c_119518,plain,
! [Z_522] : ( multiply(sk_c7,multiply(sk_c3,Z_522)) = Z_522 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119213]) ).
tff(c_119530,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118689,c_119518]) ).
tff(c_118710,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_119534,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119530,c_118710]) ).
tff(c_119567,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119534,c_118695]) ).
tff(c_119585,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_119567,c_4]) ).
tff(c_120564,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_119530,c_120522]) ).
tff(c_120609,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_119585,c_119567,c_120564]) ).
tff(c_119569,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119534,c_118677]) ).
tff(c_118767,plain,
! [X_505,Y_506,Z_507] : ( multiply(multiply(X_505,Y_506),Z_507) = multiply(X_505,multiply(Y_506,Z_507)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_118815,plain,
! [Z_507] : ( multiply(sk_c7,multiply(sk_c3,Z_507)) = multiply(identity,Z_507) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_118767]) ).
tff(c_118861,plain,
! [Z_509] : ( multiply(sk_c7,multiply(sk_c3,Z_509)) = Z_509 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118815]) ).
tff(c_118873,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118689,c_118861]) ).
tff(c_118877,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118873,c_118710]) ).
tff(c_118890,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118877,c_118699]) ).
tff(c_118893,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118877,c_118677]) ).
tff(c_118756,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_118665,c_24]) ).
tff(c_118886,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118877,c_118756]) ).
tff(c_118818,plain,
! [X_2,Z_507] : ( multiply(inverse(X_2),multiply(X_2,Z_507)) = multiply(identity,Z_507) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_118767]) ).
tff(c_118991,plain,
! [X_511,Z_512] : ( multiply(inverse(X_511),multiply(X_511,Z_512)) = Z_512 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118818]) ).
tff(c_119012,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118886,c_118991]) ).
tff(c_119083,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_118890,c_118893,c_119012]) ).
tff(c_119033,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_118873,c_118991]) ).
tff(c_119087,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_119033]) ).
tff(c_118740,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_118812,plain,
! [Z_507] : ( multiply(sk_c9,multiply(sk_c1,Z_507)) = multiply(identity,Z_507) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_118767]) ).
tff(c_118834,plain,
! [Z_508] : ( multiply(sk_c9,multiply(sk_c1,Z_508)) = Z_508 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_118812]) ).
tff(c_118846,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_118740,c_118834]) ).
tff(c_118850,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_118846,c_118665]) ).
tff(c_118885,plain,
sk_c9 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118877,c_118850]) ).
tff(c_119098,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_119087,c_118885]) ).
tff(c_119140,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_119083,c_119098]) ).
tff(c_119142,plain,
multiply(sk_c1,sk_c9) != sk_c2,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_119156,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_119142,c_38]) ).
tff(c_119562,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119534,c_119156]) ).
tff(c_120543,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_119562,c_120522]) ).
tff(c_120605,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_119585,c_119569,c_120543]) ).
tff(c_119652,plain,
! [X_525,Z_526] : ( multiply(inverse(X_525),multiply(X_525,Z_526)) = Z_526 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119216]) ).
tff(c_120094,plain,
! [X_532,Z_533] : ( multiply(inverse(inverse(X_532)),Z_533) = multiply(X_532,Z_533) ),
inference(superposition,[status(thm),theory(equality)],[c_119652,c_119230]) ).
tff(c_119730,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_119652]) ).
tff(c_120101,plain,
! [X_532] : ( multiply(X_532,identity) = X_532 ),
inference(superposition,[status(thm),theory(equality)],[c_120094,c_119730]) ).
tff(c_119673,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_119562,c_119652]) ).
tff(c_119737,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_119585,c_119569,c_119673]) ).
tff(c_119697,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_119530,c_119652]) ).
tff(c_119742,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_119697]) ).
tff(c_119235,plain,
! [Z_516] : ( multiply(sk_c7,multiply(sk_c3,Z_516)) = Z_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119213]) ).
tff(c_119247,plain,
multiply(sk_c7,sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_118689,c_119235]) ).
tff(c_119399,plain,
! [X_520,Z_521] : ( multiply(inverse(X_520),multiply(X_520,Z_521)) = Z_521 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119216]) ).
tff(c_119447,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_119247,c_119399]) ).
tff(c_119493,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_119447]) ).
tff(c_118664,plain,
inverse(sk_c6) = sk_c9,
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_119141,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_119251,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119247,c_118710]) ).
tff(c_119233,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118710,c_118695,c_92]) ).
tff(c_119234,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_119233]) ).
tff(c_119330,plain,
! [X5_518] :
( ( inverse(X5_518) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_518,sk_c9)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119251,c_119234]) ).
tff(c_119340,plain,
( ( inverse(sk_c6) != sk_c9 )
| ( multiply(sk_c9,sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_119141,c_119330]) ).
tff(c_119351,plain,
multiply(sk_c9,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_118664,c_119340]) ).
tff(c_119501,plain,
multiply(identity,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119493,c_119351]) ).
tff(c_119516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_119501]) ).
tff(c_119517,plain,
! [X6_7,X1_9,X2_10,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_119233]) ).
tff(c_119603,plain,
! [X6_7,X1_9,X2_10,X3_8] :
( ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119534,c_119534,c_119534,c_119534,c_119517]) ).
tff(c_119604,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_119603]) ).
tff(c_120485,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_120101,c_119737,c_119742,c_119742,c_119604]) ).
tff(c_119770,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_119737,c_119737,c_119567]) ).
tff(c_120487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120485,c_119770]) ).
tff(c_120488,plain,
! [X2_10,X1_9,X6_7] :
( ( inverse(X2_10) != sk_c7 )
| ( multiply(X2_10,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_119603]) ).
tff(c_128768,plain,
! [X2_10,X1_9,X6_7] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120880,c_120609,c_120605,c_120605,c_120880,c_120605,c_120605,c_120605,c_120880,c_120609,c_120605,c_120605,c_120488]) ).
tff(c_128770,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_128768]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_118721,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_118665,c_30]) ).
tff(c_119565,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_119534,c_118721]) ).
tff(c_119578,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_119565,c_4]) ).
tff(c_120649,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_120605,c_119578]) ).
tff(c_120623,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_120605,c_119565]) ).
tff(c_120694,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_120649,c_120623]) ).
tff(c_128772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128770,c_120694]) ).
tff(c_128773,plain,
! [X1_9,X2_10] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_128768]) ).
tff(c_128775,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_128773]) ).
tff(c_128777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128775,c_120694]) ).
tff(c_128780,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_128773]) ).
tff(c_128782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128780,c_120694]) ).
tff(c_128784,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_128949,plain,
sk_c8 != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128943,c_128784]) ).
tff(c_129143,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_129134,c_128949]) ).
tff(c_118681,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_118677,c_4]) ).
tff(c_128873,plain,
! [Z_637] : ( multiply(sk_c7,multiply(sk_c8,Z_637)) = multiply(identity,Z_637) ),
inference(superposition,[status(thm),theory(equality)],[c_118699,c_128843]) ).
tff(c_128957,plain,
! [Z_640] : ( multiply(sk_c7,multiply(sk_c8,Z_640)) = Z_640 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128873]) ).
tff(c_128972,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_118681,c_128957]) ).
tff(c_129141,plain,
multiply(identity,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_129134,c_128972]) ).
tff(c_129150,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129141]) ).
tff(c_129163,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129150,c_118677]) ).
tff(c_128783,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_128788,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_128783,c_4]) ).
tff(c_128969,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_128788,c_128957]) ).
tff(c_129013,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_128972,c_128969]) ).
tff(c_14,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_128812,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_128784,c_14]) ).
tff(c_129014,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_129013,c_128812]) ).
tff(c_129017,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_128827,c_129014]) ).
tff(c_129035,plain,
inverse(sk_c1) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_129017,c_123]) ).
tff(c_129050,plain,
multiply(sk_c7,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129035,c_4]) ).
tff(c_129156,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129134,c_129050]) ).
tff(c_129138,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129134,c_129035]) ).
tff(c_129225,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129163,c_129156,c_129138]) ).
tff(c_129226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129143,c_129225]) ).
tff(c_129228,plain,
multiply(sk_c3,sk_c7) != sk_c9,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_129279,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_129228,c_66]) ).
tff(c_129243,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_118665,c_22]) ).
tff(c_129247,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129243,c_4]) ).
tff(c_129838,plain,
! [X_660,Y_661,Z_662] : ( multiply(multiply(X_660,Y_661),Z_662) = multiply(X_660,multiply(Y_661,Z_662)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_129865,plain,
! [Z_662] : ( multiply(sk_c7,multiply(sk_c8,Z_662)) = multiply(identity,Z_662) ),
inference(superposition,[status(thm),theory(equality)],[c_129247,c_129838]) ).
tff(c_130252,plain,
! [Z_670] : ( multiply(sk_c7,multiply(sk_c8,Z_670)) = Z_670 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129865]) ).
tff(c_130267,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_118681,c_130252]) ).
tff(c_129227,plain,
inverse(sk_c5) = sk_c8,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_129233,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129227,c_4]) ).
tff(c_130264,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_129233,c_130252]) ).
tff(c_130411,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_130267,c_130264]) ).
tff(c_129295,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_129228,c_70]) ).
tff(c_129309,plain,
! [X_645,Y_646,Z_647] : ( multiply(multiply(X_645,Y_646),Z_647) = multiply(X_645,multiply(Y_646,Z_647)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_129342,plain,
! [Z_647] : ( multiply(sk_c8,multiply(sk_c5,Z_647)) = multiply(identity,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_129233,c_129309]) ).
tff(c_129497,plain,
! [Z_653] : ( multiply(sk_c8,multiply(sk_c5,Z_653)) = Z_653 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129342]) ).
tff(c_129509,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129295,c_129497]) ).
tff(c_129339,plain,
! [Z_647] : ( multiply(sk_c7,multiply(sk_c8,Z_647)) = multiply(identity,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_129247,c_129309]) ).
tff(c_129691,plain,
! [Z_657] : ( multiply(sk_c7,multiply(sk_c8,Z_657)) = Z_657 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129339]) ).
tff(c_129703,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129509,c_129691]) ).
tff(c_129722,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129247,c_129703]) ).
tff(c_129525,plain,
! [Z_654] : ( multiply(sk_c7,multiply(sk_c8,Z_654)) = Z_654 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129339]) ).
tff(c_129537,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129509,c_129525]) ).
tff(c_129556,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129247,c_129537]) ).
tff(c_129274,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_129398,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129274,c_129243,c_92]) ).
tff(c_129452,plain,
! [X5_652] :
( ( inverse(X5_652) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_652,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_129398]) ).
tff(c_129481,plain,
( ( inverse(identity) != sk_c9 )
| ( multiply(sk_c9,sk_c9) != sk_c8 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_129452]) ).
tff(c_129524,plain,
multiply(sk_c9,sk_c9) != sk_c8,
inference(splitLeft,[status(thm)],[c_129481]) ).
tff(c_129558,plain,
multiply(identity,identity) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129556,c_129556,c_129524]) ).
tff(c_129575,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129558]) ).
tff(c_129345,plain,
! [Z_647] : ( multiply(sk_c8,multiply(sk_c4,Z_647)) = multiply(identity,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_118681,c_129309]) ).
tff(c_129436,plain,
! [Z_651] : ( multiply(sk_c8,multiply(sk_c4,Z_651)) = Z_651 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129345]) ).
tff(c_129448,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129279,c_129436]) ).
tff(c_129543,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_129448,c_129525]) ).
tff(c_129557,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129247,c_129543]) ).
tff(c_129586,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129557,c_129243]) ).
tff(c_129657,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_129586,c_4]) ).
tff(c_129357,plain,
! [X_2,Z_647] : ( multiply(inverse(X_2),multiply(X_2,Z_647)) = multiply(identity,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129309]) ).
tff(c_129371,plain,
! [X_2,Z_647] : ( multiply(inverse(X_2),multiply(X_2,Z_647)) = Z_647 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129357]) ).
tff(c_129664,plain,
multiply(inverse(identity),identity) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129657,c_129371]) ).
tff(c_129676,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_129664]) ).
tff(c_129678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129575,c_129676]) ).
tff(c_129680,plain,
multiply(sk_c9,sk_c9) = sk_c8,
inference(splitRight,[status(thm)],[c_129481]) ).
tff(c_129724,plain,
multiply(identity,identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129722,c_129722,c_129680]) ).
tff(c_129742,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129724]) ).
tff(c_42,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_129290,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_129351,plain,
! [Z_647] : ( multiply(sk_c9,multiply(sk_c1,Z_647)) = multiply(identity,Z_647) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_129309]) ).
tff(c_129373,plain,
! [Z_648] : ( multiply(sk_c9,multiply(sk_c1,Z_648)) = Z_648 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129351]) ).
tff(c_129385,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_129290,c_129373]) ).
tff(c_129389,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129385,c_118665]) ).
tff(c_129730,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_129722,c_129389]) ).
tff(c_129819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129742,c_129730]) ).
tff(c_129820,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_130420,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_130411,c_129820]) ).
tff(c_130423,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_129279,c_130420]) ).
tff(c_130434,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_130423,c_129274]) ).
tff(c_130438,plain,
inverse(sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130423,c_118664]) ).
tff(c_129284,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_129228,c_74]) ).
tff(c_130433,plain,
multiply(sk_c6,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130423,c_129284]) ).
tff(c_129883,plain,
! [X_2,Z_662] : ( multiply(inverse(X_2),multiply(X_2,Z_662)) = multiply(identity,Z_662) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_129838]) ).
tff(c_130492,plain,
! [X_674,Z_675] : ( multiply(inverse(X_674),multiply(X_674,Z_675)) = Z_675 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129883]) ).
tff(c_130516,plain,
multiply(inverse(sk_c6),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_130433,c_130492]) ).
tff(c_130568,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130434,c_130438,c_130516]) ).
tff(c_130540,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_129279,c_130492]) ).
tff(c_130569,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_118677,c_130540]) ).
tff(c_130606,plain,
multiply(sk_c7,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130568,c_130568,c_130569]) ).
tff(c_129897,plain,
! [X_2,Z_662] : ( multiply(inverse(X_2),multiply(X_2,Z_662)) = Z_662 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_129883]) ).
tff(c_130610,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_130606,c_129897]) ).
tff(c_130616,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130610]) ).
tff(c_130632,plain,
multiply(identity,sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_130616,c_113]) ).
tff(c_130731,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_130632,c_129897]) ).
tff(c_130743,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_130731]) ).
tff(c_130435,plain,
multiply(sk_c3,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130423,c_129228]) ).
tff(c_130622,plain,
multiply(sk_c3,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_130616,c_130616,c_130435]) ).
tff(c_130775,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130743,c_130622]) ).
tff(c_130776,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_118669,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_118664,c_4]) ).
tff(c_131375,plain,
! [X_690,Y_691,Z_692] : ( multiply(multiply(X_690,Y_691),Z_692) = multiply(X_690,multiply(Y_691,Z_692)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_131408,plain,
! [Z_692] : ( multiply(sk_c9,multiply(sk_c6,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_118669,c_131375]) ).
tff(c_131461,plain,
! [Z_695] : ( multiply(sk_c9,multiply(sk_c6,Z_695)) = Z_695 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131408]) ).
tff(c_131473,plain,
multiply(sk_c9,sk_c7) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130776,c_131461]) ).
tff(c_131417,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_131375]) ).
tff(c_131520,plain,
! [X_697,Z_698] : ( multiply(inverse(X_697),multiply(X_697,Z_698)) = Z_698 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131417]) ).
tff(c_131544,plain,
multiply(inverse(sk_c9),sk_c9) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_131473,c_131520]) ).
tff(c_131611,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131544]) ).
tff(c_131692,plain,
inverse(sk_c3) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131611,c_109]) ).
tff(c_131771,plain,
multiply(identity,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131692,c_4]) ).
tff(c_131431,plain,
! [X_2,Z_692] : ( multiply(inverse(X_2),multiply(X_2,Z_692)) = Z_692 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131417]) ).
tff(c_131778,plain,
multiply(inverse(identity),identity) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_131771,c_131431]) ).
tff(c_131790,plain,
sk_c3 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131778]) ).
tff(c_130782,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_129228,c_66]) ).
tff(c_131399,plain,
! [Z_692] : ( multiply(sk_c7,multiply(sk_c8,Z_692)) = multiply(identity,Z_692) ),
inference(superposition,[status(thm),theory(equality)],[c_129247,c_131375]) ).
tff(c_131484,plain,
! [Z_696] : ( multiply(sk_c7,multiply(sk_c8,Z_696)) = Z_696 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131399]) ).
tff(c_131499,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_118681,c_131484]) ).
tff(c_131496,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_129233,c_131484]) ).
tff(c_131511,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_131499,c_131496]) ).
tff(c_130795,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_129228,c_70]) ).
tff(c_130811,plain,
! [X_678,Y_679,Z_680] : ( multiply(multiply(X_678,Y_679),Z_680) = multiply(X_678,multiply(Y_679,Z_680)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_130856,plain,
! [X_2,Z_680] : ( multiply(inverse(X_2),multiply(X_2,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_130811]) ).
tff(c_131015,plain,
! [X_686,Z_687] : ( multiply(inverse(X_686),multiply(X_686,Z_687)) = Z_687 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130856]) ).
tff(c_131069,plain,
multiply(inverse(sk_c5),sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130795,c_131015]) ).
tff(c_131131,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_129227,c_131069]) ).
tff(c_130870,plain,
! [X_2,Z_680] : ( multiply(inverse(X_2),multiply(X_2,Z_680)) = Z_680 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130856]) ).
tff(c_131232,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_131131,c_130870]) ).
tff(c_131238,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131232]) ).
tff(c_130790,plain,
multiply(sk_c1,sk_c9) = sk_c2,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_130850,plain,
! [Z_680] : ( multiply(sk_c9,multiply(sk_c1,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_127,c_130811]) ).
tff(c_130872,plain,
! [Z_681] : ( multiply(sk_c9,multiply(sk_c1,Z_681)) = Z_681 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130850]) ).
tff(c_130884,plain,
multiply(sk_c9,sk_c2) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_130790,c_130872]) ).
tff(c_130888,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_130884,c_118665]) ).
tff(c_131273,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_131238,c_130888]) ).
tff(c_131277,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131238,c_118664]) ).
tff(c_131291,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131277,c_4]) ).
tff(c_131298,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_131291,c_130870]) ).
tff(c_131310,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_131298]) ).
tff(c_131314,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131310,c_131277]) ).
tff(c_130844,plain,
! [Z_680] : ( multiply(sk_c8,multiply(sk_c4,Z_680)) = multiply(identity,Z_680) ),
inference(superposition,[status(thm),theory(equality)],[c_118681,c_130811]) ).
tff(c_130984,plain,
! [Z_685] : ( multiply(sk_c8,multiply(sk_c4,Z_685)) = Z_685 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_130844]) ).
tff(c_130996,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_130782,c_130984]) ).
tff(c_131036,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_130996,c_131015]) ).
tff(c_131124,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_129247,c_129243,c_131036]) ).
tff(c_131093,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_118681,c_131015]) ).
tff(c_131136,plain,
multiply(sk_c7,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_129243,c_131093]) ).
tff(c_131347,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131124,c_131136]) ).
tff(c_131350,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_131347,c_118677]) ).
tff(c_131352,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131314,c_131350]) ).
tff(c_131354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131273,c_131352]) ).
tff(c_131355,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_131621,plain,
multiply(sk_c4,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_131511,c_131355]) ).
tff(c_131624,plain,
sk_c9 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_130782,c_131621]) ).
tff(c_131638,plain,
multiply(sk_c3,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_131624,c_129228]) ).
tff(c_131891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_131790,c_131611,c_131611,c_131638]) ).
tff(c_131893,plain,
inverse(sk_c1) != sk_c9,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_50,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_131905,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_131893,c_50]) ).
tff(c_131909,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131905,c_4]) ).
tff(c_52,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_131963,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_131893,c_52]) ).
tff(c_131892,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_131897,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131892,c_4]) ).
tff(c_132021,plain,
! [Z_704] : ( multiply(sk_c8,multiply(sk_c4,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_131897,c_131988]) ).
tff(c_132065,plain,
! [Z_706] : ( multiply(sk_c8,multiply(sk_c4,Z_706)) = Z_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132021]) ).
tff(c_132077,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_131963,c_132065]) ).
tff(c_132018,plain,
! [Z_704] : ( multiply(sk_c7,multiply(sk_c8,Z_704)) = multiply(identity,Z_704) ),
inference(superposition,[status(thm),theory(equality)],[c_131909,c_131988]) ).
tff(c_132428,plain,
! [Z_714] : ( multiply(sk_c7,multiply(sk_c8,Z_714)) = Z_714 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132018]) ).
tff(c_132440,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_132077,c_132428]) ).
tff(c_132453,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131909,c_132440]) ).
tff(c_132486,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132453,c_131905]) ).
tff(c_132496,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_132486,c_4]) ).
tff(c_133952,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_132496,c_2]) ).
tff(c_58,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_131913,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_131893,c_58]) ).
tff(c_131917,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_131913,c_4]) ).
tff(c_132446,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_131917,c_132428]) ).
tff(c_133928,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132453,c_132446]) ).
tff(c_56,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_131969,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_131893,c_56]) ).
tff(c_133929,plain,
multiply(identity,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_133928,c_131969]) ).
tff(c_133932,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_133929]) ).
tff(c_133961,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133952,c_133932]) ).
tff(c_132587,plain,
! [X_716,Z_717] : ( multiply(inverse(X_716),multiply(X_716,Z_717)) = Z_717 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132027]) ).
tff(c_132760,plain,
! [X_720,Z_721] : ( multiply(inverse(inverse(X_720)),Z_721) = multiply(X_720,Z_721) ),
inference(superposition,[status(thm),theory(equality)],[c_132040,c_132587]) ).
tff(c_132614,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_132587]) ).
tff(c_132771,plain,
! [X_720] : ( multiply(X_720,identity) = X_720 ),
inference(superposition,[status(thm),theory(equality)],[c_132760,c_132614]) ).
tff(c_132556,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_132496,c_2]) ).
tff(c_132525,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132453,c_132446]) ).
tff(c_132526,plain,
multiply(identity,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_132525,c_131969]) ).
tff(c_132529,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132526]) ).
tff(c_132566,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132556,c_132529]) ).
tff(c_132201,plain,
! [Z_710] : ( multiply(sk_c7,multiply(sk_c8,Z_710)) = Z_710 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132018]) ).
tff(c_132213,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_132077,c_132201]) ).
tff(c_132226,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131909,c_132213]) ).
tff(c_132235,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132226,c_131905]) ).
tff(c_132245,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_132235,c_4]) ).
tff(c_132255,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_132245,c_2]) ).
tff(c_132104,plain,
! [Z_708] : ( multiply(sk_c7,multiply(sk_c8,Z_708)) = Z_708 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132018]) ).
tff(c_132116,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_132077,c_132104]) ).
tff(c_132129,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_131909,c_132116]) ).
tff(c_132102,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( multiply(sk_c7,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131905,c_92]) ).
tff(c_132103,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitLeft,[status(thm)],[c_132102]) ).
tff(c_132131,plain,
multiply(identity,sk_c9) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132129,c_132103]) ).
tff(c_132141,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132131]) ).
tff(c_132122,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_131917,c_132104]) ).
tff(c_132182,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132129,c_132122]) ).
tff(c_132184,plain,
multiply(identity,sk_c8) = sk_c9,
inference(demodulation,[status(thm),theory(equality)],[c_132182,c_131969]) ).
tff(c_132188,plain,
sk_c9 = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132184]) ).
tff(c_132190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132141,c_132188]) ).
tff(c_132192,plain,
multiply(sk_c7,sk_c9) = sk_c8,
inference(splitRight,[status(thm)],[c_132102]) ).
tff(c_132228,plain,
multiply(identity,sk_c9) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132226,c_132192]) ).
tff(c_132360,plain,
multiply(identity,sk_c9) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132255,c_132228]) ).
tff(c_132370,plain,
sk_c9 = identity,
inference(superposition,[status(thm),theory(equality)],[c_132360,c_2]) ).
tff(c_132264,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132255,c_132235]) ).
tff(c_132191,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_132102]) ).
tff(c_132200,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_132191]) ).
tff(c_132299,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132226,c_132200]) ).
tff(c_132364,plain,
inverse(identity) != sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_132360,c_132299]) ).
tff(c_132377,plain,
sk_c9 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_132264,c_132364]) ).
tff(c_132426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132370,c_132377]) ).
tff(c_132427,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_132191]) ).
tff(c_132523,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132453,c_132453,c_132453,c_132427]) ).
tff(c_132524,plain,
! [X5_6] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_132523]) ).
tff(c_133924,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_132771,c_132566,c_2,c_132566,c_132556,c_132566,c_132524]) ).
tff(c_132568,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_132556,c_132486]) ).
tff(c_133926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133924,c_132568]) ).
tff(c_133927,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 ) ),
inference(splitRight,[status(thm)],[c_132523]) ).
tff(c_156620,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134166,c_133961,c_133952,c_133952,c_134166,c_133952,c_133952,c_134166,c_133961,c_133927]) ).
tff(c_156622,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_156620]) ).
tff(c_132449,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_131897,c_132428]) ).
tff(c_132507,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_132453,c_132449]) ).
tff(c_132510,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_132507,c_131892]) ).
tff(c_133962,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_133952,c_132510]) ).
tff(c_156624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156622,c_133962]) ).
tff(c_156625,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_156620]) ).
tff(c_156627,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_156625]) ).
tff(c_156629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156627,c_133962]) ).
tff(c_156632,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_156625]) ).
tff(c_156634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156632,c_133962]) ).
tff(c_156635,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_156640,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_156635,c_4]) ).
tff(c_156636,plain,
inverse(sk_c3) != sk_c7,
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_84,plain,
( ( multiply(sk_c5,sk_c8) = sk_c9 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_156727,plain,
multiply(sk_c5,sk_c8) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_156636,c_84]) ).
tff(c_86,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_156685,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_156636,c_86]) ).
tff(c_156689,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_156685,c_4]) ).
tff(c_156769,plain,
! [Z_919] : ( multiply(sk_c8,multiply(sk_c5,Z_919)) = multiply(identity,Z_919) ),
inference(superposition,[status(thm),theory(equality)],[c_156689,c_156745]) ).
tff(c_156799,plain,
! [Z_920] : ( multiply(sk_c8,multiply(sk_c5,Z_920)) = Z_920 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156769]) ).
tff(c_156811,plain,
multiply(sk_c8,sk_c9) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_156727,c_156799]) ).
tff(c_156781,plain,
! [Z_919] : ( multiply(sk_c7,multiply(sk_c8,Z_919)) = multiply(identity,Z_919) ),
inference(superposition,[status(thm),theory(equality)],[c_156640,c_156745]) ).
tff(c_157205,plain,
! [Z_930] : ( multiply(sk_c7,multiply(sk_c8,Z_930)) = Z_930 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156781]) ).
tff(c_157223,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156811,c_157205]) ).
tff(c_157237,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156640,c_157223]) ).
tff(c_90,plain,
( ( inverse(sk_c6) = sk_c9 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_156649,plain,
inverse(sk_c6) = sk_c9,
inference(negUnitSimplification,[status(thm)],[c_156636,c_90]) ).
tff(c_157259,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157237,c_156649]) ).
tff(c_157900,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157259,c_4]) ).
tff(c_157992,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_157900,c_156797]) ).
tff(c_158004,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_157992]) ).
tff(c_158008,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158004,c_157259]) ).
tff(c_80,plain,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_156709,plain,
multiply(sk_c4,sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_156636,c_80]) ).
tff(c_82,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_156661,plain,
inverse(sk_c4) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_156636,c_82]) ).
tff(c_156665,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_156661,c_4]) ).
tff(c_156775,plain,
! [Z_919] : ( multiply(sk_c8,multiply(sk_c4,Z_919)) = multiply(identity,Z_919) ),
inference(superposition,[status(thm),theory(equality)],[c_156665,c_156745]) ).
tff(c_157139,plain,
! [Z_928] : ( multiply(sk_c8,multiply(sk_c4,Z_928)) = Z_928 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156775]) ).
tff(c_157151,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_156709,c_157139]) ).
tff(c_157217,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_157151,c_157205]) ).
tff(c_157236,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156640,c_157217]) ).
tff(c_157246,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157236,c_156635]) ).
tff(c_157937,plain,
multiply(inverse(sk_c8),identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_156689,c_157904]) ).
tff(c_157958,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_157246,c_157937]) ).
tff(c_157964,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_157958,c_156685]) ).
tff(c_158045,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_158008,c_157964]) ).
tff(c_157332,plain,
! [X_931,Z_932] : ( multiply(inverse(X_931),multiply(X_931,Z_932)) = Z_932 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156784]) ).
tff(c_157501,plain,
! [X_934,Z_935] : ( multiply(inverse(inverse(X_934)),Z_935) = multiply(X_934,Z_935) ),
inference(superposition,[status(thm),theory(equality)],[c_157332,c_156797]) ).
tff(c_157365,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_157332]) ).
tff(c_157508,plain,
! [X_934] : ( multiply(X_934,identity) = X_934 ),
inference(superposition,[status(thm),theory(equality)],[c_157501,c_157365]) ).
tff(c_156907,plain,
! [Z_924] : ( multiply(sk_c7,multiply(sk_c8,Z_924)) = Z_924 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156781]) ).
tff(c_156925,plain,
multiply(sk_c7,sk_c8) = sk_c9,
inference(superposition,[status(thm),theory(equality)],[c_156811,c_156907]) ).
tff(c_156939,plain,
sk_c9 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156640,c_156925]) ).
tff(c_156848,plain,
! [Z_922] : ( multiply(sk_c8,multiply(sk_c4,Z_922)) = Z_922 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156775]) ).
tff(c_156860,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_156709,c_156848]) ).
tff(c_156919,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_156860,c_156907]) ).
tff(c_156938,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156640,c_156919]) ).
tff(c_156846,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( multiply(sk_c7,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156635,c_92]) ).
tff(c_156847,plain,
multiply(sk_c7,sk_c9) != sk_c8,
inference(splitLeft,[status(thm)],[c_156846]) ).
tff(c_156944,plain,
multiply(identity,sk_c9) != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_156938,c_156847]) ).
tff(c_156953,plain,
sk_c9 != sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156944]) ).
tff(c_156969,plain,
sk_c8 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_156939,c_156953]) ).
tff(c_156964,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_156939,c_156649]) ).
tff(c_157024,plain,
multiply(identity,sk_c6) = identity,
inference(superposition,[status(thm),theory(equality)],[c_156964,c_4]) ).
tff(c_157041,plain,
multiply(inverse(identity),identity) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_157024,c_156797]) ).
tff(c_157053,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_157041]) ).
tff(c_157057,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157053,c_156964]) ).
tff(c_156934,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_156665,c_156907]) ).
tff(c_157122,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_156938,c_156934]) ).
tff(c_157125,plain,
inverse(identity) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_157122,c_156661]) ).
tff(c_157127,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157057,c_157125]) ).
tff(c_157129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156969,c_157127]) ).
tff(c_157130,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != sk_c9 )
| ( multiply(sk_c9,multiply(X5_6,sk_c9)) != sk_c8 )
| ( inverse(X6_7) != sk_c7 )
| ( multiply(X6_7,sk_c7) != sk_c9 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != sk_c7 )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != sk_c9 )
| ( inverse(X3_8) != sk_c9 )
| ( multiply(X3_8,sk_c9) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_156846]) ).
tff(c_157266,plain,
! [X5_6,X2_10,X3_8,X1_9,X6_7] :
( ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity )
| ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157237,c_157236,c_157237,c_157237,c_157236,c_157237,c_157236,c_157236,c_157237,c_2,c_157237,c_157237,c_157130]) ).
tff(c_157267,plain,
! [X3_8] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_157266]) ).
tff(c_157886,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_157508,c_157267]) ).
tff(c_157271,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_157246,c_4]) ).
tff(c_157288,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_157271,c_2]) ).
tff(c_157297,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_157288,c_157246]) ).
tff(c_157888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157886,c_157297]) ).
tff(c_157889,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != sk_c8 )
| ( multiply(X2_10,sk_c8) != identity )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X1_9,sk_c8) != identity )
| ( inverse(X6_7) != identity )
| ( multiply(X6_7,identity) != identity )
| ( inverse(X5_6) != identity )
| ( multiply(X5_6,identity) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_157266]) ).
tff(c_179427,plain,
! [X2_10,X1_9,X6_7,X5_6] :
( ( inverse(X2_10) != identity )
| ( identity != X2_10 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X5_6) != identity )
| ( identity != X5_6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158153,c_158045,c_158153,c_158153,c_158045,c_158045,c_158153,c_158045,c_158045,c_157889]) ).
tff(c_179429,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_179427]) ).
tff(c_179431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179429,c_158008]) ).
tff(c_179432,plain,
! [X6_7,X1_9,X2_10] :
( ( inverse(X6_7) != identity )
| ( identity != X6_7 )
| ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X2_10) != identity )
| ( identity != X2_10 ) ),
inference(splitRight,[status(thm)],[c_179427]) ).
tff(c_188702,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_179432]) ).
tff(c_188704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188702,c_158008]) ).
tff(c_188705,plain,
! [X1_9,X6_7] :
( ( inverse(X1_9) != identity )
| ( identity != X1_9 )
| ( inverse(X6_7) != identity )
| ( identity != X6_7 ) ),
inference(splitRight,[status(thm)],[c_179432]) ).
tff(c_189890,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_188705]) ).
tff(c_189892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189890,c_158008]) ).
tff(c_189894,plain,
inverse(identity) != identity,
inference(splitRight,[status(thm)],[c_188705]) ).
tff(c_189896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189894,c_158008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP369-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:25:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 36.55/24.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.84/24.72
% 36.84/24.72 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 36.90/24.81
% 36.90/24.81 Inference rules
% 36.90/24.81 ----------------------
% 36.90/24.81 #Ref : 0
% 36.90/24.81 #Sup : 45655
% 36.90/24.81 #Fact : 0
% 36.90/24.81 #Define : 0
% 36.90/24.81 #Split : 49
% 36.90/24.81 #Chain : 0
% 36.90/24.81 #Close : 0
% 36.90/24.81
% 36.90/24.81 Ordering : KBO
% 36.90/24.81
% 36.90/24.81 Simplification rules
% 36.90/24.81 ----------------------
% 36.90/24.81 #Subsume : 22
% 36.90/24.81 #Demod : 183869
% 36.90/24.81 #Tautology : 37437
% 36.90/24.81 #SimpNegUnit : 164
% 36.90/24.81 #BackRed : 945
% 36.90/24.81
% 36.90/24.81 #Partial instantiations: 0
% 36.90/24.81 #Strategies tried : 1
% 36.90/24.81
% 36.90/24.81 Timing (in seconds)
% 36.90/24.81 ----------------------
% 36.90/24.81 Preprocessing : 0.53
% 36.90/24.81 Parsing : 0.21
% 36.90/24.81 CNF conversion : 0.03
% 36.90/24.81 Main loop : 23.08
% 36.90/24.81 Inferencing : 4.24
% 36.90/24.81 Reduction : 16.48
% 36.90/24.81 Demodulation : 15.88
% 36.90/24.81 BG Simplification : 0.30
% 36.90/24.81 Subsumption : 1.48
% 36.90/24.81 Abstraction : 1.18
% 36.90/24.81 MUC search : 0.00
% 36.90/24.81 Cooper : 0.00
% 36.90/24.81 Total : 23.80
% 36.90/24.81 Index Insertion : 0.00
% 36.90/24.81 Index Deletion : 0.00
% 36.90/24.81 Index Matching : 0.00
% 36.90/24.81 BG Taut test : 0.00
%------------------------------------------------------------------------------